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Open AccessArticle

Synchronization of a Non-Equilibrium Four-Dimensional Chaotic System Using a Disturbance-Observer-Based Adaptive Terminal Sliding Mode Control Method

1
College of Electrical and Information Engineering, Shaoyang University, Shaoyang 422000, China
2
School of Mechanical Engineering, College of Engineering, University of Tehran, Tehran 11155-4563, Iran
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Department of Computer Engineering, Biruni University, Istanbul 34010, Turkey
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Department of Mathematics, Federal University Dutse, Jigawa 7156, Nigeria
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Department of Mechanical Engineering, University of Manitoba, Winnipeg, MB R3T 5V6, Canada
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Research Group in Electronic, Biomedical and Telecommunication Engineering, University of Castilla-La Mancha, 16071 Cuenca, Spain
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School of Physics and Electronics, Central South University, Changsha 410083, China
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Faculty of Electronics Sciences, Benemerita Universidad Autonoma de Puebla, Mexico 72570, Mexico
*
Author to whom correspondence should be addressed.
Entropy 2020, 22(3), 271; https://doi.org/10.3390/e22030271
Received: 21 January 2020 / Revised: 23 February 2020 / Accepted: 24 February 2020 / Published: 27 February 2020
In this paper, dynamical behavior and synchronization of a non-equilibrium four-dimensional chaotic system are studied. The system only includes one constant term and has hidden attractors. Some dynamical features of the governing system, such as invariance and symmetry, the existence of attractors and dissipativity, chaotic flow with a plane of equilibria, and offset boosting of the chaotic attractor, are stated and discussed and a new disturbance-observer-based adaptive terminal sliding mode control (ATSMC) method with input saturation is proposed for the control and synchronization of the chaotic system. To deal with unexpected noises, an extended Kalman filter (EKF) is implemented along with the designed controller. Through the concept of Lyapunov stability, the proposed control technique guarantees the finite time convergence of the uncertain system in the presence of disturbances and control input limits. Furthermore, to decrease the chattering phenomena, a genetic algorithm is used to optimize the controller parameters. Finally, numerical simulations are presented to demonstrate the performance of the designed control scheme in the presence of noise, disturbances, and control input saturation. View Full-Text
Keywords: four-dimensional chaotic systems; dynamical analysis; disturbance-observer; adaptive terminal sliding mode control; control input saturation; extended Kalman filter four-dimensional chaotic systems; dynamical analysis; disturbance-observer; adaptive terminal sliding mode control; control input saturation; extended Kalman filter
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MDPI and ACS Style

Wang, S.; Yousefpour, A.; Yusuf, A.; Jahanshahi, H.; Alcaraz, R.; He, S.; Munoz-Pacheco, J.M. Synchronization of a Non-Equilibrium Four-Dimensional Chaotic System Using a Disturbance-Observer-Based Adaptive Terminal Sliding Mode Control Method. Entropy 2020, 22, 271. https://doi.org/10.3390/e22030271

AMA Style

Wang S, Yousefpour A, Yusuf A, Jahanshahi H, Alcaraz R, He S, Munoz-Pacheco JM. Synchronization of a Non-Equilibrium Four-Dimensional Chaotic System Using a Disturbance-Observer-Based Adaptive Terminal Sliding Mode Control Method. Entropy. 2020; 22(3):271. https://doi.org/10.3390/e22030271

Chicago/Turabian Style

Wang, Shaojie; Yousefpour, Amin; Yusuf, Abdullahi; Jahanshahi, Hadi; Alcaraz, Raúl; He, Shaobo; Munoz-Pacheco, Jesus M. 2020. "Synchronization of a Non-Equilibrium Four-Dimensional Chaotic System Using a Disturbance-Observer-Based Adaptive Terminal Sliding Mode Control Method" Entropy 22, no. 3: 271. https://doi.org/10.3390/e22030271

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